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Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error.' Fires in California is sounding alarm bells that cannot be ignored.
Option 1: sounding alarm bells
Option 2: that cannot be ignored
Option 3: fires in California is
Option 4: no error
Correct Answer: fires in California is
Solution : The error lies in the third option.
The subject fires is plural, so the verb should also be plural to maintain subject-verb agreement. In the original sentence, is (singular) is used instead of are (plural). The corrected version ensures subject-verb agreement by
Question : If $a+b+c=0$, the value of $\frac{a^2+b^2+c^2}{a^2-bc}$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $a+b+c=0$ $\therefore b+c=-a$ Now, $a+b+c=0$ By squaring both sides, we get, $(a+b+c)^2=0$ ⇒ $a^2+b^2+c^2+2(ab+bc+ca)=0$ ⇒ $a^2+b^2+c^2+2[a(b+c)+bc]=0$ ⇒ $a^2+b^2+c^2+2[a(-a)+bc]=0$ ⇒ $a^2+b^2+c^2-2[a^2-bc]=0$ ⇒ $a^2+b^2+c^2=2[a^2-bc]$ $\therefore\frac{a^2+b^2+c^2}{a^2-bc}=2$ Hence, the correct answer is $2$.
Question : Directions: Select the related letter cluster from the given alternatives. VVXY : RRTU :: FFHI : ?
Option 1: XXYB
Option 2: CCDF
Option 3: UUVZ
Option 4: BBDE
Correct Answer: BBDE
Solution : Given: VVXY : RRTU :: FFHI : ?
Subtract 4 from the place value of each letter of VVXY to obtain the required code – V – 4 = R; V – 4 = R; X – 4 = T; Y – 4 = U
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
This palace (has been belonging) to our family since generations.
(1) has belonging
(2) has belonged
(3) belonged
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Solution : The correct improvement for the sentence is: has belonged.
Explanation: The original phrase "has been belonging" is not grammatically correct in this context. When expressing ownership or possession that has continued over a period of time, we typically use the present perfect tense. "Has belonged"
Question : Select the most appropriate meaning of the given idiom.
Cutting corners.
Option 1: To take the long way around.
Option 2: To do something quickly or cheaply, often at the expense of quality or safety.
Option 3: To follow the rules strictly.
Option 4: To be honest and fair.
Correct Answer: To do something quickly or cheaply, often at the expense of quality or safety.
Solution : The correct choice is the second option.
The idiom, cutting corners means to do something in the easiest, quickest, or cheapest way, often sacrificing quality or thoroughness.
Question : If $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}, \theta$ lies in first quadrant, then the value of $\frac{\operatorname{cosec} \theta+\cot ^2 \theta}{\operatorname{cosec} \theta-\cot ^2 \theta}$ is:
Option 1: $\frac{19}{5}$
Option 2: $\frac{22}{3}$
Option 3: $\frac{37}{12}$
Option 4: $\frac{37}{19}$
Correct Answer: $\frac{19}{5}$
Solution : $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}$ Using the identity $\sec \theta = \frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$, $\frac{\frac{1}{cos\theta}-\frac{\sin \theta}{\cos \theta}}{\frac{1}{cos\theta}+\frac{\sin\theta}{\cos\theta}}=\frac{1}{7}$ $⇒\frac{1-\sin \theta}{1+\sin \theta}=\frac{1}{7}$ On applying componendo and dividendo, $⇒\sin \theta = \frac{3}{4}$ Using the identity $\sin^2 \theta + \cos^2 \theta = 1$,
Question : Choose the sentence with no spelling errors.
Option 1: I am willing to consider the possibility
Option 2: I am willing to considerr the possibility
Option 3: I am wiling to consider the posibility
Option 4: I am willing to consider the posibility.
Correct Answer: I am willing to consider the possibility
Solution : The correct choice is the first option.
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the third option is correct.
Question : Direction: X and Y both start from the same point; X walks 17 m west. then turns to his right and walks 13 meters. At the same time. Y walks 9 m North, then turns East and walks 9 m north, then turns to his left and walks 4 m. Where is Y now with respect to the position of X?
Option 1: 24 metre west
Option 2: 10 metre east
Option 3: 10 metre west
Option 4: 24 metre east
Correct Answer: 24 metre east
Solution : Given:
Question : The mineral constituent of chlorophyll is
Option 1: Iron
Option 2: Magnesium
Option 3: Calcium
Option 4: Potassium
Correct Answer: Magnesium
Solution : The correct option is Magnesium.
The chlorophyll pigment is present in cell organelles known as chloroplasts. These chloroplasts serve as a site for photosynthesis. Chlorophyll is a porphyrin derivative. It has a magnesium atom in the centre, and four nitrogen atoms surround it. A
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